Q21 of 47 Page 1

Solve for x :


Taking LCM,







By Transposition,


⇒ 4(2x2 + 2) = 17(x2 – 2x)


⇒ 8x2 + 8 = 17x2 – 34x


⇒ 17x2 – 8x2 – 34x – 8 = 0


⇒ 9x2 – 34x – 8 = 0


⇒ 9x2 – 36x + 2x – 8 = 0


⇒ 9x(x – 4) + 2(x – 4) = 0


⇒ (9x + 2)(x – 4) = 0


This gives 2 equations,


i. 9x + 2= 0



ii. x – 4 = 0


⇒ x = 4


Hence, or x = 4


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